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Finding the Fourth Proportional to 398,658.88, 598,147.56 and 162,020.08

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Solution

The fourth proportional to 398,658.88, 598,147.56 and 162,020.08 is: 243,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,658.88 : 598,147.56 = 162,020.08 : x
  2. Step 2: Convert to fraction form
    398,658.88/598,147.56 = 162,020.08/x
  3. Step 3: Cross multiply
    398,658.88x = 598,147.56 × 162,020.08
  4. Step 4: Simplify right side
    398,658.88x = 96,911,915,523.00
  5. Step 5: Solve for x
    x = 96,911,915,523.00/398,658.88
  6. Step 6: Final answer
    x = 243,094.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.